Matrix equations with diagonalizable coefficients
Matrix equations with diagonalizable coefficients
Let A and A' be diagonalizable matrices. The paper deals with the equation
 ∑j=0m1 ∑k=0m2 cjk AjX(A')k = M
 where X should be found, cjk are numbers and M is a given matrix. A solution of this equation is represented as a function of two non-commuting matrices. We establish a …